Algebra Jeopardy

Equations

100

18=x+(27-18)

x=9

200

Solve 

y=2x+2

y=-4x+2

(0,2)

300

If x=6, y=8, and z=3, evaluate this expression:

z³+(y²-4x)

67

400

A coffee shop owner wants to create a 20 pound custom coffee blend that sells for $14 per pound. She mixes premium beans worth $16 per pound with standard beans worth $11 per pound. How many pounds of each bean type must she use?

12 pounds of premium beans and 8 pound of standard beans. 

500

(x²+6x+1)(x²+6x-3)=5

x(x³+12x²+34x-12)=8

Radicals

100

Simplify √81

9

200

Simplify √27

3√3

300

Solve 3√3(2√9-6√3)

18√3-3√6

400

A large square has an area of  500/3 m² and a small square has an area of 245/3 m². The side length of the large square is √500/3 meters. The side length of the small square is √256/3 meters. Find the difference of the side length of the large square and the side length of the small square.

10√5-16/√3

500

Solve 15*(27^7/3)

32,805

Quadratics

100

What is the formula, standard form, and vertex form in order as written for quadratics?

Formula: y=-b±(√b²-4ac)/2a

Standard form: y=ax²+bx+c

Vertex form: y= a(x-h)²+k

200

Factor x²+5x+6

(x+3)(x+2)

300

9u²-16=0

u=±4/3

400

(x²-x+1)²+2x²(x²-x+1)=3x⁴

x=1

500

x²+(9x²/(x+3)²)=40

x={6,-2}

Transformations

100

Describe the transformations of the parent function y=5^x-8

It shifts 8 units down. 

200

Describe the transformation of the parent function of y=3^x to y=3^x-4(8)+2

It goes 32 units to the right and 2 units up. 

300

Describe how the graph of g(x)=-4(1/2)^x+5-2 is related to the graph of the parent function f(x)=(1/2)^x

The graph of f(x)=(1/2)^x is reflected across the x-axis and stretched vertically. The graph is translated 5 units left and 2 units down. 

400

Describe the dilation in g(x)=1/4 (3)^x as it relates togther graph of the parent function f(x)=3^x

The function is multiplied by the positive constant after it has been evaluated, and is between 0 and 1, so the graph is compressed vertically by a factor of 1//4. 

500

Describe the transformations of the parent function on y=2^x to y=-92/68(2^x+0.25)

It is reflected over the -axis, shifted 0.25 units to the left, and stretched vertically by a factor of 92/68.  

Basic Knowledge

100

What is the biggest animal on earth?

Blue Whale

200

How many feet are in a mile?

5280 ft in a mile

300

What does www stand for in the beginning of links (ex. www.example.com)

World Wide Web

400

What is the percentage of nitrogen present in the atmosphere?

78%

500

What word in the English dictionary has 3 consecutive double letters? (ex. aabbcc)

Bookkeeper